A stress relaxation model for the viscoelastic solids based on the steady-state creep equation

Creep and stress relaxation are inherent mechanical behaviors of viscoelastic materials. It is considered that both are different performances of one identical physical phenomenon. The relationship between the decay stress and time during stress relaxation has been derived from the power law equation of the steady-state creep. The model was used to analyse the stress relaxation curves of various different viscoelastic materials (such as pure polycrystalline ice, polymers, foods, bones, metal, animal tissues, etc.). The calculated results using the theoretical model agree with the experimental data very well. Here we show that the new mathematical formula is not only simple but its parameters have the clear physical meanings. It is suitable to materials with a very broad scope and has a strong predictive ability.

Law and the power of feminism: how marriage lost its power to oppress women

In Feminism and the Power of Law Carol Smart argued that feminists should use non-legal strategies rather than looking to law to bring about women’s liberation. This article seeks to demonstrate that, as far as marriage is concerned, she was right. Statistics and contemporary commentary show how marriage, once the ultimate and only acceptable status for women, has declined in social significance to such an extent that today it is a mere lifestyle choice. This is due to many factors, including the ‘sexual revolution’ of the 1960s, improved education and job opportunities for women, and divorce law reform, but the catalyst for change was the feminist critique that called for the abandonment (rather than the reform) of the institution and made the unmarried state possible for women. I conclude that this loss of significance has been more beneficial to British women in terms of the possibility of ‘liberation’ than appeals for legal change and recognition, and that we should continue to be wary of looking to law to solve women’s problems.

Franz Neumann, the rule of law and the unfulfilled promise of classical liberal thought

This thesis draws on the work of Franz Neumann, a critical theorist associated with the early Frankfurt School, to evaluate liberal arguments about political legitimacy and to develop an original account of the justification for the liberal state.

The slowly evolving background state of the atmosphere

The theory of wave–mean flow interaction requires a partition of the atmospheric flow into a notional background state and perturbations to it. Here, a background state, known as the Modified Lagrangian Mean (MLM), is defined as the zonally symmetric state obtained by requiring that every potential vorticity (PV) contour lying within an isentropic layer encloses the same mass and circulation as in the full flow. For adiabatic and frictionless flow, these two integral properties are time-invariant and the MLM state is a steady solution of the primitive equations. The time dependence in the adiabatic flow is put into the perturbations, which can be described by a wave-activity conservation law that is exact even at large amplitude. Furthermore, the effects of non-conservative processes on wave activity can be calculated from the conservation law. A new method to calculate the MLM state is introduced, where the position of the lower boundary is obtained as part of the solution. The results are illustrated using Northern Hemisphere ERA-Interim data. The MLM state evolves slowly, implying that the net non-conservative effects are weak. Although ‘adiabatic eddy fluxes’ cannot affect the MLM state, the effects of Rossby-wave breaking, PV filamentation and subsequent dissipation result in sharpening of the polar vortex edge and meridional shifts in the MLM zonal flow, both at tropopause level and on the winter stratospheric vortex. The rate of downward migration of wave activity during stratospheric sudden warmings is shown to be given by the vertical scale associated with polar vortex tilt divided by the time-scale for wave dissipation estimated from the wave-activity conservation law. Aspects of troposphere–stratosphere interaction are discussed. The new framework is suitable to examine the climate and its interactions with disturbances, such as midlatitude storm tracks, and makes a clean partition between adiabatic and non-conservative processes.

Conflicts of law and the mutual recognition of same-sex unions in the EU

My thesis uses legal arguments to demonstrate a requirement for recognition of same-sex marriages and registered partnerships between EU Member States. I draw on the US experience, where arguments for recognition of marriages void in some states previously arose in relation to interracial marriages. I show how there the issue of recognition today depends on conflicts of law and its interface with US constitutional freedoms against discrimination. I introduce the themes of the importance of domicile, the role of the public policy exception, vested rights, and relevant US constitutional freedoms. Recognition in the EU also depends on managing the tension between private international law and freedoms guaranteed by higher norms, in this case the EU Treaties and the European Convention on Human Rights. I set out the inconsistencies between various private international law systems and the problems this creates. Other difficulties are caused by the use of nationality as a connecting factor to determine personal capacity, and the overuse of the public policy exception. I argue that EU Law can constrain the use of conflicts law or public policy by any Member State where these are used to deny effect to same-sex unions validly formed elsewhere. I address the fact that family law falls only partly within Union competence, that existing EU Directives have had limited success at achieving full equality and that powers to implement new measures have not been used to their full potential. However, Treaty provisions outlawing discrimination on grounds of nationality can be interpreted so as to require recognition in many cases. Treaty citizenship rights can also be interpreted favourably to mandate recognition, once private international law is itself recognised as an obstacle to free movement. Finally, evolving interpretations of the European Convention on Human Rights may also support claims for cross-border recognition of existing relationships.

Remote law-making? American drone strikes and the development of jus ad bellum

There is growing concern amongst international lawyers that the United States’ use of unmanned armed vehicles to conduct lethal targeting operations against non-state actors is setting a dangerous precedent for the future and might lead to an erosion of important rules under international law. Taking seriously these concerns, this article examines in more detail the potential precedent created by the US through its lethal drone strikes and the provided justifications, for the purpose of the development of jus ad bellum. In identifying the claims made by the US under different theories of customary international law as qualified practice or expressions of opinio juris that can lead to an alteration of the law should they be accepted by the international community, this article takes a first step towards a more extensive debate on the potential effects of the US drone strikes on the development of international law.